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Stock-Based Compensation Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term (Years)	3 years 10 months 24 days	4 years 4 months 24 days	5 years 2 months 12 days	5 years 9 months 18 days
Stock-based compensation expense	$ 28.9	$ 24.5	$ 31.2
Income tax benefits for grants	$ 5.6	4.8	6.4
Maximum expiry period of options granted from the grant date	10 years
Vesting period of options granted	3 years
Lapsing period of restrictions related to restricted stock issued	three- to four-year
Total pretax intrinsic value of options exercised	$ 9.3	$ 10.7	21.2
Closing stock price	$ 31.25
Stock options exercisable and in-the-money, number	3,096,685	3,974,757
Stock options exercisable and in-the-money, weighted average exercise price	$ 21.66	$ 21.29
Available For Issuance [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock incentive units	6,060,880
Option Or Stock Appreciation Right [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock incentive units	1.0
Non-Stock Option Awards [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock incentive units	2.6
Employee Stock Option [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation expense related to nonvested shares and stock option grants	$ 0.1	$ 0.2	$ 0.4
Weighted-average period of recognition	10 months 24 days	1 year 4 months 24 days	9 months 18 days
Restricted Awards [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total fair value of shares vested	$ 35.0	$ 23.7	$ 17.4
Unrecognized compensation expense related to nonvested shares and stock option grants	$ 18.5	$ 19.9	$ 20.2
Weighted-average period of recognition	1 year 6 months	1 year 6 months	1 year 7 months 6 days
Performance Awards [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total fair value of shares vested	$ 28.0	$ 22.8	$ 7.3
Unrecognized compensation expense related to nonvested shares and stock option grants	$ 1.4	$ 4.5	$ 19.0
Weighted-average period of recognition	1 year 4 months 24 days	1 year 1 month 6 days	1 year 8 months 12 days

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